Worksheet on LCM

Practice the questions given in the worksheet on l.c.m. to find the least common multiple by listing their multiples, by common prime factors and by division method.


I. Find the L.C.M.  of the following by listing their multiples.

(i) 5, 10, 15

(ii) 4, 10, 12

(iii) 3, 9, 12

(iv) 2, 8, 10

(v) 7, 14, 21

(vi) 10, 20, 25

II. Find the first 3 common multiples of the given using a number line.

(i) 3 and 4

(ii) 5 and 6


III. Find the L.C.M.  of the following by finding common prime factors.

(i) 60, 75, 120

(ii) 48, 80, 112

(iii) 18, 54, 72

(iv) 10, 15, 25

(v) 20, 35, 45

(vi) 16, 24, 48


IV. Find the LCM of the given numbers by prime factorization method.

(i) 12 and 20

(ii) 36, 27 and 18

(iii) 32 and 48

(iv) 48, 64 and 120

(v) 56 and 72

(vi) 75, 150 and 275

 

V. Find the L.C.M. of the given numbers by division method.

(i) 20 and 44

(ii) 36, 24 and 40

(iii) 45 and 120

(iv) 84 and 90

(v) 10, 15 and 45

(vi)  70, 110, 150

(vii) 25, 30, 150

(viii) 36, 60, 120

(ix) 30, 150, 300

(x) 25, 45, 105

(xi) 21, 49, 63

 

VI. Solve the following:

(i) Find the lowest number which leaves 4 as remainder when divide by 9 and 12.

(ii) Find the lowest number which being increased by 3 is exactly divided by 8, 12 and 16.

(iii) Find the lowest number which is less by 5 to be divided by 15, 25 and 50 exactly.

(iv) Find the lowest number which is less by 2 to be divided by 56 and 98 exactly.

(v) Find the lowest number which is more by 7 to be divided by 20, 50 and 100 exactly.

(vi) The product of the L.C.M. and H.C.F. of two numbers is 80. If one of the numbers is 20, find the other number.

(vii) Find the lowest number which is less by 9 to be divided by 21, 35 and 49 exactly.

(viii) The product of two numbers is 192. If the H.C.F. of the numbers is 4, find their L.C.M.

(ix) The H.C.F. two numbers is 6 and their L.C.M. is 36. If one of the numbers is 18, find the other number.

(x) The product of the H.C.F. and L.C.M. of two numbers is 1050. Find the product of numbers.

(xi) The product of two numbers is 144. If the L.C.M. of these numbers is 12, find their H.C.F.

(xii) The product of two numbers is 169. If the L.C.M. of these numbers is 13, find their H.C.F.

Worksheet on LCM

Answers for the worksheet on lcm are given below.


Answers:


I. (i) 30

(ii) 60

(iii) 36

(iv) 40

(v) 52

(vi) 100


II. (i) 12, 24, 36

(ii) 30, 60, 90

 

III. (i) 600

(ii) 1680

(iii) 216

(iv) 150

(v) 1260

(vi) 48


IV. (i) 60

(ii) 108

(iii) 96

(iv) 960

(v) 504

(vi) 1650

 

V. (i) 220

(ii) 360

(iii) 360

(iv) 1260

(v) 90

(vi) 11550

(vii) 150

(viii) 360

(ix) 300

(x) 1575

(xi) 441

 

VI. (i) 40

(ii) 45

(iii) 145

(iv) 390

(v) 107

(vi) 4

(vii) 726

(viii) 48

(ix) 12

(x) 1050

(xi) 12

(xii) 13





4th Grade Math Activities

From Worksheet on L.C.M.  to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Numbers | Notation | Numeration | Numeral | Estimation | Examples

    May 12, 24 06:28 PM

    Numbers are used for calculating and counting. These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers. In order to describe the number of elements in a collection with no objects

    Read More

  2. Face Value and Place Value|Difference Between Place Value & Face Value

    May 12, 24 06:23 PM

    Face Value and Place Value
    What is the difference between face value and place value of digits? Before we proceed to face value and place value let us recall the expanded form of a number. The face value of a digit is the digit…

    Read More

  3. Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns

    May 12, 24 06:09 PM

    Complete the Series Patterns
    We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r…

    Read More

  4. Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

    May 12, 24 04:59 PM

    Bar Graph Worksheet
    In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will

    Read More

  5. Worksheet on Pictographs | Picture Graph Worksheets | Pictograph Works

    May 12, 24 04:31 PM

    Pictograph Worksheets
    In worksheet on pictographs, all grade students can practice the questions on data handling. We can present the given information in many ways. In pictograph the information is presented by using a pi…

    Read More